An algebraic equation is a mathematical statement equating two algebraic expressions, i.e., it states that one algebraic expression is equal to another algebraic expression.

The following additive and multiplicative properties apply to equations.

Addition Property of Equality:
For all real numbers a, b, and c,
a = b if and only if a + c = b + c.

Multiplication Property of Equality:
For all real numbers a, b, and c, where c ¹ 0,

a = b if and only if ac = bc.